Ballistics said:
Blurring also can come from a lack of light. Hence why you can get stop action photography @ 1/200 with a flash.
Flash doesn't stop motion because it's bright. It stops motion, when it overpowers the ambient light, because the duration that the flash stats lit is in the neighborhood of 1/10,000 of a second. Key point: FLASH ONLY STOPS MOTION WHEN THERE IS NO AMBIENT LIGHT AFFECTING THE EXPOSURE.
Blur doesn't come from a lack of light. It comes from too slow of a shutter speed. To compensate for which, you need a Larger aperture, higher ISO, or to add some flash.